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Alik [6]
3 years ago
14

If b is the midpoint of ac Ab = 2x and ac = 5x + 8 Find bc

Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0

Answer:

3x+8

Step-by-step explanation:

2x+bc=5x+8

bc=5x-2x+8

bc=3x+8

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One angle of a right triangle measures 8°. What is the measure of the other acute angle?
Ivahew [28]

Answer:

  82°

Step-by-step explanation:

The acute angles in a right triangle are complementary. The other one is ...

  90° -8° = 82°

5 0
3 years ago
What ratios that are equivalent to 4 to 7.
expeople1 [14]
4 to 7 =  4/7

5/8 is not.

12/20 = 6/10 = 3/5 . It is not equivalent.

8:14 = 4 : 7 .  It is equivalent

5 to 10 = 1 to 2.  It is not.

16/28 = 8/14 = 4/7.  It is equivalent.

9 to 16 = 9 to 16.  It is not equivalent.

So only 8:14 and 16/28  are equivalent to 4 to 7.
8 0
3 years ago
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5 0
3 years ago
Prove that 1+cosA/sinA + sinA/1+cosA=2cosecA
Alla [95]
\frac{1+cos\alpha}{sin\alpha}+\frac{sin\alpha}{1+cos\alpha}=2cosec\alpha\\\\L=\frac{(1+cos\alpha)(1+cos\alpha)+sin\alpha\cdot sin\alpha}{sin\alpha(1+cos\alpha)}=\frac{1+2cos\alpha+cos^2\alpha+sin^2\alpha}{sin\alpha(1+cos\alpha)}\\\\=\frac{1+2cos\alpha+1}{sin\alpha(1+cos\alpha)}=\frac{2+2cos\alpha}{sin\alpha(1+cos\alpha)}=\frac{2(1+cos\alpha)}{sin\alpha(1+cos\alpha)}\\\\=\frac{2}{sin\alpha}=2\cdot\frac{1}{sin\alpha}=2cosec\alpha=R
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